A driver starts his car with the door on the passenger's side wide open (θ = 0). The 3...

A driver starts his car with the door on the passenger's side wide open (θ = 0). The 36-kg door has a centroidal radius of gyration  = 250 mm, and its mass center is located at a distance r = 440 mm from its vertical axis of rotation. Knowing that the driver maintains a constant acceleration of 2 m/s2, determine the angular velocity of the door as it slams shut (θ = 90°).